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Finding the Third Proportional to 45,864.88 and 98,511.63

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Solution

The third proportional to 45,864.88 and 98,511.63 is: 211,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,864.88 : 98,511.63 = 98,511.63 : x
  2. Step 2: Convert to fraction form
    45,864.88/98,511.63 = 98,511.63/x
  3. Step 3: Cross multiply
    45,864.88x = 98,511.63 × 98,511.63
  4. Step 4: Simplify right side
    45,864.88x = 9,704,540,260.14
  5. Step 5: Solve for x
    x = 9,704,540,260.14/45,864.88
  6. Step 6: Final answer
    x = 211,589.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.